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Finding the Fourth Proportional to 50,495.36, 69,686.72 and 27,834.24

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Solution

The fourth proportional to 50,495.36, 69,686.72 and 27,834.24 is: 38,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,495.36 : 69,686.72 = 27,834.24 : x
  2. Step 2: Convert to fraction form
    50,495.36/69,686.72 = 27,834.24/x
  3. Step 3: Cross multiply
    50,495.36x = 69,686.72 × 27,834.24
  4. Step 4: Simplify right side
    50,495.36x = 1,939,676,889.29
  5. Step 5: Solve for x
    x = 1,939,676,889.29/50,495.36
  6. Step 6: Final answer
    x = 38,412.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.